Mathematics: Arrange this from the ascending order. 9, -17, 2, 14, -10, -6, 2, 18, -2, -4

Arrange this from the ascending order. 9, -17,

erichyatt

13.10.2022

Let the two integers be and

We know that is 19 more than , which means

x = 2y+19

Also, their product is -44, which means

xy = -44

We can substitute the expression for given by the first equation into the second:

$xy = -44 \iff (2y+19)y = -44 \iff 2y^2+19y+44=0$

This equation has solutions

$y_1 = -\dfrac{11}{2},\ y_2 = -4$

So, if we're looking for an integer solution, we can only choose y = -4

Which implies

x = 2(-4)+19 = -8+19 = 11

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